a. Suppose that between the ages of 25 and 37, you contribute $3000 per year to a 401(k) and your employer contributes $3500 per year on your behalf. The interest rate is 8.25% compounded annually. What is the value of the 401(k), rounded to the nearest dollar, after 12 years? b. Suppose that after 12 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money, to the interest dollar, will you have in the plan when you reach age 65? c. What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
a. Suppose that between the ages of 25 and 37, you contribute $3000 per year to a 401(k) and your employer contributes $3500 per year on your behalf. The interest rate is 8.25% compounded annually. What is the value of the 401(k), rounded to the nearest dollar, after 12 years? b. Suppose that after 12 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money, to the interest dollar, will you have in the plan when you reach age 65? c. What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
Solution Summary: The author calculates the value of the 401(k) after 12 years using the equation as shown below.
a. Suppose that between the ages of 25 and 37, you contribute $3000 per year to a 401(k) and your employer contributes $3500 per year on your behalf. The interest rate is 8.25% compounded annually. What is the value of the 401(k), rounded to the nearest dollar, after 12 years?
b. Suppose that after 12 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money, to the interest dollar, will you have in the plan when you reach age 65?
c. What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
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